Adaptive Tracking Control of Linear Systems to Periodic Target with Set-Valued Information
This paper studies the adaptive control for linear systems with set-valued observations to track periodic target.Con-sider the system parameters are known and set-valued observations can supply limit information each time,we construct a two stage adaptive control algorithm.For different order of system parameters,accessorial parameters with the same order as track-ing target can be constructed.Based on the estimation of accessorial parameters,the control signal is designed.The control signal will last for a holding time,during which the parameter estimation is constructed.As the holding time goes to in finity,the algorithm can be proved to be asymptotically ef ficient in a certain view.Meanwhile,the adaptive tracking algorithm is shown to be asymptotically optimal.For different orders of system parameters and the tracking target the tracking purpose can be achieved very well.However,it is interesting that for some cases the system parameters cannot be estimated but the system output tracks the target well.A numerical example is given to demonstrate the effectiveness of the algorithms and the main results obtained.
ZHAO Yanlong GUO Jin ZHANG Ji-Feng
Key Lab of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-6
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）